Computing the Sound of the Sea in a Seashell

Jonathan Ben-Artzi; Marco Marletta; Frank Rösler

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arXiv · 2009.02956

Computing the Sound of the Sea in a Seashell

Jonathan Ben-Artzi·Marco Marletta·Frank Rösler

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Abstract

The question of whether there exists an approximation procedure to compute the resonances of any Helmholtz resonator, regardless of its particular shape, is addressed. A positive answer is given, and it is shown that all that one has to assume is that the resonator chamber is bounded and that its boundary is $\mathcal C^2$. The proof is constructive, providing a universal algorithm which only needs to access the values of the characteristic function of the chamber at any requested point.

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BibTeX RIS

Jonathan Ben-Artzi, Marco Marletta, Frank Rösler. 2021-03-03. Computing the Sound of the Sea in a Seashell. https://arxiv.org/abs/2009.02956

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